Shahrood University of TechnologyJournal of Algebraic Systems2345-51289120210901C#-IDEALS OF LIE ALGEBRAS4551205310.22044/jas.2020.9458.1461ENL.GoudarziDepartment of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran.Journal Article20200311Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$. This is analogous to the concept of a $c^{\#}$-normal subgroup of a finite group. Now, we consider the influence of this concept on the structure of finite dimentional Lie algebras.<br /><br />https://jas.shahroodut.ac.ir/article_2053_33d2e7d3c4127015fe8fd3c756ef1561.pdf